Anaea (or Anæa) is an Ancient city, former bishopric and present Latin Catholic titular see in Asia Minor.
It gave its name to its modern location, Anya (Kadıkalesi) in the coastal village of Soğucak situated 8 kilometres (5.0 mi) to the south of Kuşadası in Aydın Province, Turkey.
Anæa was important enough in the Roman province of Asia Prima to become a suffragan bishopric of its capital Ephesus's Metropolitan Archbishopric. Yet it would fade.
The diocese was nominally restored in 1933 as Anæa (Curiate Italian form Anea).
It is vacant for decades, having had the following incumbents, all of the lowest (episcopal) rank :